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Finding the Fourth Proportional to 466,645.86, 644,019.66 and 285,478.43

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Solution

The fourth proportional to 466,645.86, 644,019.66 and 285,478.43 is: 393,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,645.86 : 644,019.66 = 285,478.43 : x
  2. Step 2: Convert to fraction form
    466,645.86/644,019.66 = 285,478.43/x
  3. Step 3: Cross multiply
    466,645.86x = 644,019.66 × 285,478.43
  4. Step 4: Simplify right side
    466,645.86x = 183,853,718,205.84
  5. Step 5: Solve for x
    x = 183,853,718,205.84/466,645.86
  6. Step 6: Final answer
    x = 393,989.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.